Pith Number

pith:KM7OOPXM

pith:2013:KM7OOPXMA7AQJJN56VYC5SLQ2J

not attested not anchored not stored refs pending

On the uniform convergence of empirical norms and inner products, with application to causal inference

Sara van de Geer

arxiv:1310.5523 v1 · 2013-10-21 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KM7OOPXMA7AQJJN56VYC5SLQ2J}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:09:35.156010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533ee73eec07c104a5bdf5702ec970d25766f93612fe6b1347117440ef6fd41c

Aliases

arxiv: 1310.5523 · arxiv_version: 1310.5523v1 · doi: 10.48550/arxiv.1310.5523 · pith_short_12: KM7OOPXMA7AQ · pith_short_16: KM7OOPXMA7AQJJN5 · pith_short_8: KM7OOPXM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KM7OOPXMA7AQJJN56VYC5SLQ2J \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 533ee73eec07c104a5bdf5702ec970d25766f93612fe6b1347117440ef6fd41c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "046d33f899e5efa4afe084f1458b9983e840ef34be534834b595cd2ebe5b5a6b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-10-21T12:31:38Z",
    "title_canon_sha256": "9bc243def6124048c887d8c31946e6c04a401ff79e20b18259281d82ad6cea56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5523",
    "kind": "arxiv",
    "version": 1
  }
}